Geodesic
Cofinalities of Marczewski-like ideals
Jörg Brendle 1   ; Yurii Khomskii 2   ; Wolfgang Wohofsky 2
1 Graduate School of System Informatics Kobe University Rokko-dai 1-1, Nada-ku Kobe 657-8501, Japan
2 Hamburg University Bundesstraße 55 (Geomatikum) 20146 Hamburg, Germany
Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 269-279 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We show in ZFC that the cofinalities of both the Miller ideal $m^0$ (the $\sigma $-ideal naturally related to Miller forcing ${\mathbb M}$) and the Laver ideal $\ell ^0$ (related to Laver forcing ${\mathbb L}$) are larger than the size ${\mathfrak c}$ of the continuum.
DOI : 10.4064/cm7113-5-2017
Keywords: zfc cofinalities miller ideal sigma ideal naturally related miller forcing mathbb laver ideal ell related laver forcing mathbb larger size mathfrak continuum

Jörg Brendle  1   ; Yurii Khomskii  2   ; Wolfgang Wohofsky  2

1 Graduate School of System Informatics Kobe University Rokko-dai 1-1, Nada-ku Kobe 657-8501, Japan
2 Hamburg University Bundesstraße 55 (Geomatikum) 20146 Hamburg, Germany 
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     title = {Cofinalities of {Marczewski-like} ideals},
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Jörg Brendle; Yurii Khomskii; Wolfgang Wohofsky. Cofinalities of Marczewski-like ideals. Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 269-279. doi: 10.4064/cm7113-5-2017

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